101467152 has 120 divisors (see below), whose sum is σ = 303652440. Its totient is φ = 31518720.

The previous prime is 101467151. The next prime is 101467183. The reversal of 101467152 is 251764101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20034576 + 81432576 = 4476^2 + 9024^2 .

It is a super-2 number, since 2×101467152² = 20591165869982208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101467151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442974 + ... + 443202.

It is an arithmetic number, because the mean of its divisors is an integer number (2530437).

Almost surely, 2^101467152 is an apocalyptic number.

101467152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101467152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151826220).

101467152 is an abundant number, since it is smaller than the sum of its proper divisors (202185288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101467152 is a wasteful number, since it uses less digits than its factorization.

101467152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101467152 is about 10073.0904890207. The cubic root of 101467152 is about 466.4178437705.

The spelling of 101467152 in words is "one hundred one million, four hundred sixty-seven thousand, one hundred fifty-two".